Simulation of transition between regular and Mach shock waves reflections by an implicit scheme based on the LU-SGS and BiCGStab methods

In this paper a parallel solver for 3D unsteady Reynolds-averaged Navier–Stokes equations with Spalart–Allmaras turbulence model is presented. The method is based on fully implicit finite volume scheme, which is solved by BiCGStab with LU-SGS as precondition. Using the developed method the transition between regular and Mach shock waves reflections initiated by energy input is simulated. Numerical results are compared with published data and with results of computations by the explicit scheme. The scalability of the proposed parallel numerical method is studied.